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jek_recluse [69]
3 years ago
14

(2y + 5) (5x - 17) (3x - 11)

Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0

Answer:

8x + 2y - 23

Step-by-step explanation:

(2y + 5) + (5x - 17) + (3x - 11)

2y + 8x + 5 - 17 -11

2y + 8x - 23

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The length of DE is 5 because they are similar triangle .

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Complete the equation for the horizontal line that passes through (5, –7).<br><br> y =
KiRa [710]

Answer:

y = - 7

Step-by-step explanation:

The equation of a horizontal line is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (5, - 7) with y- coordinate - 7, thus

y = - 7 ← equation of horizontal line

8 0
3 years ago
Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choos
Snowcat [4.5K]

<u>Ashely have </u><u>56 ways</u><u> to choose from</u>

This question can be solved using a system in mathematics called Permutation and it's in a topic of mathematics called combinatorics.

<h3 /><h3>Permutation</h3>

This is the process of arranging a particular set of data in different ways.

Since Ashely is choosing 3 desserts out of 8 in no specific ways

P=\frac{n!}{(n-r)!}

Where n = total number of ways available

r = total numbers that would be selected.

Data given

  • n = 8
  • r = 3

Let's substitute these values into the equation.

P=\frac{8!}{(8-3)!3!} \\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1*3*2*1}\\P=56

From the calculation above, Ashley have 56 ways in which can choose 3 dessert from an 8 choice.

Learn more about permutation here;

brainly.com/question/11871015

8 0
2 years ago
The circumference of a circular mat is 13π feet. What is the area, in square feet, of the mat? Express your answer in terms of π
qaws [65]

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=13\pi \end{cases}\implies 13\pi =2\pi r\implies \cfrac{13\pi }{2\pi }=r\implies \boxed{\cfrac{13}{2}=r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies A=\pi \left(\cfrac{13}{2} \right)^2\implies A=\pi \left( \cfrac{13^2}{2^2} \right)\implies A=\cfrac{169}{4}\pi

6 0
3 years ago
Subtract (5x+3)-(x+2)
Gemiola [76]

Answer:

C.  4x + 1.

Step-by-step explanation:

(5x+3)-(x+2) First remove the parentheses. Remember to distribute the negative over the second one:

= 5x + 3 - x - 2   Bring like terms together:

= 5x - x + 3 - 2   Simplify like terms:

= 4x +1.

8 0
3 years ago
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